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Finding the Third Proportional to 244,486.50 and 504,201

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Solution

The third proportional to 244,486.50 and 504,201 is: 1,039,806.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,486.50 : 504,201 = 504,201 : x
  2. Step 2: Convert to fraction form
    244,486.50/504,201 = 504,201/x
  3. Step 3: Cross multiply
    244,486.50x = 504,201 × 504,201
  4. Step 4: Simplify right side
    244,486.50x = 254,218,648,401
  5. Step 5: Solve for x
    x = 254,218,648,401/244,486.50
  6. Step 6: Final answer
    x = 1,039,806.49

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.